Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The greatest common factor of 8 and 24 is 8.
Solution
-
List the factors of
and : - Factors of
are and . - Factors of
are and .
- Factors of
-
Identify the common factors:
- The common factors are
and .
- The common factors are
-
The greatest common factor is the largest of the common factors, which is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
The greatest common factor (GCF) of 8 and 24 is 8! You can find the GCF by listing the factors of both numbers. For 8, the factors are 1, 2, 4, and 8. For 24, they are 1, 2, 3, 4, 6, 8, 12, and 24. The largest factor they have in common is 8.
To further solidify this knowledge, remember that finding the GCF can also be done using the prime factorization method. For 8, its prime factors are 2 x 2 x 2 (or 2³). For 24, the prime factorization is 2 x 2 x 2 x 3 (or 2³ x 3). By identifying the lowest powers of all common prime factors—in this case, 2³—you can see why the GCF is 8!
